One generator (1+u)-quasi twisted codes over F₂+uF₂

2013/06/30 by Jian Gao, Gao, Jian, Qiong Kong +1 · 1 citation
Computer Science · Engineering · Mathematics · Medicine · #Cancer Mechanisms and Therapy #Coding theory and cryptography #cs.IT #graph theory and CDMA systems #math.IT #msc:94B05

paper · pdf · doi:10.48550/arxiv.1307.0180

7 pages. In Mathematical Computation, 2013(1)

arxiv created 2013/06/30 · arxiv updated 2013/07/02

Abstract

This paper gives the minimum generating sets of three types of one generator (1+u)-quasi twisted (QT) codes over F₂+uF₂, u²=0. Moreover, it discusses the generating sets and the lower bounds on the minimum Lee distance of a special class of A₂ type one generator (1+u)-QT codes. Some good (optimal or suboptimal) linear codes over F₂ are obtained by these types of one generator (1+u)-QT codes.

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